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Finding the Third Proportional to 2,303,137,912 and 4,973,265,008

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Solution

The third proportional to 2,303,137,912 and 4,973,265,008 is: 10,738,985,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,137,912 : 4,973,265,008 = 4,973,265,008 : x
  2. Step 2: Convert to fraction form
    2,303,137,912/4,973,265,008 = 4,973,265,008/x
  3. Step 3: Cross multiply
    2,303,137,912x = 4,973,265,008 × 4,973,265,008
  4. Step 4: Simplify right side
    2,303,137,912x = 24,733,364,839,797,239,808
  5. Step 5: Solve for x
    x = 24,733,364,839,797,239,808/2,303,137,912
  6. Step 6: Final answer
    x = 10,738,985,586.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.